3992320864 has 144 divisors (see below), whose sum is σ = 9851175936. Its totient is φ = 1583366400.

The previous prime is 3992320847. The next prime is 3992320879. The reversal of 3992320864 is 4680232993.

It is a super-2 number, since 2×3992320864² = 31877251762259412992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116199 + ... + 1119769.

It is an arithmetic number, because the mean of its divisors is an integer number (68410944).

Almost surely, 2^3992320864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925587968).

3992320864 is an abundant number, since it is smaller than the sum of its proper divisors (5858855072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3992320864 is a wasteful number, since it uses less digits than its factorization.

3992320864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 3992320864 is about 63184.8151378161. The cubic root of 3992320864 is about 1586.3845788404.

The spelling of 3992320864 in words is "three billion, nine hundred ninety-two million, three hundred twenty thousand, eight hundred sixty-four".